Datrys 10^-63^-7625*x^-4div5^-3*{6}^-5*{x}^-8

$${ 10 }^{ -6 } { 3 }^{ -7 } 625 \times { x }^{ -4 } \div { 5 }^{ -3 } \times { 6 }^{ -5 } \times { x }^{ -8 }$$

Enrhifo

$$\frac{5}{1088391168x^{12}}$$

Camau Ateb

Cyfrifo 10 i bŵer -6 a chael \frac{1}{1000000}.

$$\frac{\frac{1}{1000000}\times 3^{-7}\times 625x^{-4}}{5^{-3}}\times 6^{-5}x^{-8}$$

Cyfrifo 3 i bŵer -7 a chael \frac{1}{2187}.

$$\frac{\frac{1}{1000000}\times \frac{1}{2187}\times 625x^{-4}}{5^{-3}}\times 6^{-5}x^{-8}$$

Lluosi \frac{1}{1000000} a \frac{1}{2187} i gael \frac{1}{2187000000}.

$$\frac{\frac{1}{2187000000}\times 625x^{-4}}{5^{-3}}\times 6^{-5}x^{-8}$$

Lluosi \frac{1}{2187000000} a 625 i gael \frac{1}{3499200}.

$$\frac{\frac{1}{3499200}x^{-4}}{5^{-3}}\times 6^{-5}x^{-8}$$

Cyfrifo 5 i bŵer -3 a chael \frac{1}{125}.

$$\frac{\frac{1}{3499200}x^{-4}}{\frac{1}{125}}\times 6^{-5}x^{-8}$$

Rhannwch \frac{1}{3499200}x^{-4} â \frac{1}{125} drwy luosi \frac{1}{3499200}x^{-4} â chilydd \frac{1}{125}.

$$\frac{1}{3499200}x^{-4}\times 125\times 6^{-5}x^{-8}$$

Lluosi \frac{1}{3499200} a 125 i gael \frac{5}{139968}.

$$\frac{5}{139968}x^{-4}\times 6^{-5}x^{-8}$$

Cyfrifo 6 i bŵer -5 a chael \frac{1}{7776}.

$$\frac{5}{139968}x^{-4}\times \frac{1}{7776}x^{-8}$$

Lluosi \frac{5}{139968} a \frac{1}{7776} i gael \frac{5}{1088391168}.

$$\frac{5}{1088391168}x^{-4}x^{-8}$$

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch -4 a -8 i gael -12.

$$\frac{5}{1088391168}x^{-12}$$

Gwahaniaethu w.r.t. x

$$-\frac{5}{90699264x^{13}}$$

Camau gan Ddefnyddio Diffiniad o Ddeilliad

Cyfrifo 10 i bŵer -6 a chael \frac{1}{1000000}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1}{1000000}\times 3^{-7}\times 625x^{-4}}{5^{-3}}\times 6^{-5}x^{-8})$$

Cyfrifo 3 i bŵer -7 a chael \frac{1}{2187}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1}{1000000}\times \frac{1}{2187}\times 625x^{-4}}{5^{-3}}\times 6^{-5}x^{-8})$$

Lluosi \frac{1}{1000000} a \frac{1}{2187} i gael \frac{1}{2187000000}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1}{2187000000}\times 625x^{-4}}{5^{-3}}\times 6^{-5}x^{-8})$$

Lluosi \frac{1}{2187000000} a 625 i gael \frac{1}{3499200}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1}{3499200}x^{-4}}{5^{-3}}\times 6^{-5}x^{-8})$$

Cyfrifo 5 i bŵer -3 a chael \frac{1}{125}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1}{3499200}x^{-4}}{\frac{1}{125}}\times 6^{-5}x^{-8})$$

Rhannwch \frac{1}{3499200}x^{-4} â \frac{1}{125} drwy luosi \frac{1}{3499200}x^{-4} â chilydd \frac{1}{125}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{3499200}x^{-4}\times 125\times 6^{-5}x^{-8})$$

Lluosi \frac{1}{3499200} a 125 i gael \frac{5}{139968}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{139968}x^{-4}\times 6^{-5}x^{-8})$$

Cyfrifo 6 i bŵer -5 a chael \frac{1}{7776}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{139968}x^{-4}\times \frac{1}{7776}x^{-8})$$

Lluosi \frac{5}{139968} a \frac{1}{7776} i gael \frac{5}{1088391168}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{1088391168}x^{-4}x^{-8})$$

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch -4 a -8 i gael -12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{1088391168}x^{-12})$$

Deilliad ax^{n} yw nax^{n-1}.

$$-12\times \frac{5}{1088391168}x^{-12-1}$$

Lluoswch -12 â \frac{5}{1088391168}.

$$-\frac{5}{90699264}x^{-12-1}$$

Tynnu 1 o -12.

$$-\frac{5}{90699264}x^{-13}$$